221202400 has 36 divisors (see below), whose sum is σ = 540012312. Its totient is φ = 88480640.

The previous prime is 221202379. The next prime is 221202413. The reversal of 221202400 is 4202122.

221202400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 137452 + ... + 139051.

It is an arithmetic number, because the mean of its divisors is an integer number (15000342).

Almost surely, 2^221202400 is an apocalyptic number.

221202400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202400 is an abundant number, since it is smaller than the sum of its proper divisors (318809912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221202400 is a wasteful number, since it uses less digits than its factorization.

221202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276523 (or 276510 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 221202400 is about 14872.8746380785. The cubic root of 221202400 is about 604.7788732670.

Adding to 221202400 its reverse (4202122), we get a palindrome (225404522).

The spelling of 221202400 in words is "two hundred twenty-one million, two hundred two thousand, four hundred".